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11120011100212 = 2272941407382007
BaseRepresentation
bin1010000111010001010001…
…0011111100000000110100
31110101001200200201020102211
42201310110103330000310
52424142240320201322
635352243525543204
72225252145540010
oct241642423740064
943331620636384
1011120011100212
1135a7a74405863
1212b7171274b04
136287c69c69a1
142a62d616b540
151443cc603b77
hexa1d144fc034

11120011100212 has 96 divisors (see below), whose sum is σ = 23574137771520. Its totient is φ = 4487998126080.

The previous prime is 11120011100137. The next prime is 11120011100251. The reversal of 11120011100212 is 21200111002111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11120011100192 and 11120011100201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135557313 + ... + 135639319.

It is an arithmetic number, because the mean of its divisors is an integer number (245563935120).

Almost surely, 211120011100212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11120011100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11787068885760).

11120011100212 is an abundant number, since it is smaller than the sum of its proper divisors (12454126671308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11120011100212 is a wasteful number, since it uses less digits than its factorization.

11120011100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86161 (or 86159 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11120011100212 its reverse (21200111002111), we get a palindrome (32320122102323).

The spelling of 11120011100212 in words is "eleven trillion, one hundred twenty billion, eleven million, one hundred thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 29 41 58 82 116 164 203 287 406 574 812 1148 1189 2378 4073 4756 8146 8323 16292 16646 28511 33292 57022 82007 114044 118117 164014 166993 236234 328028 333986 472468 574049 667972 826819 1148098 1168951 1653638 2296196 2337902 2378203 3307276 3362287 4675804 4756406 4842797 6724574 9512812 9685594 13449148 16647421 19371188 23536009 33294842 33899579 47072018 66589684 67799158 94144036 97506323 135598316 195012646 334014511 390025292 668029022 682544261 1336058044 1365088522 2338101577 2730177044 4676203154 9352406308 9686420819 13694594951 19372841638 27389189902 38745683276 54778379804 67804945733 95862164657 135609891466 191724329314 271219782932 383448658628 397143253579 794286507158 1588573014316 2780002775053 5560005550106 11120011100212